Cohomology of infinitesimal quantum groups. I

DOI10.2748/tmj/1178227305zbMath0770.17006OpenAlexW2109777241MaRDI QIDQ1204165

Jian-Pan Wang, Brian J. Parshall

Publication date: 1 April 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227305

zbMATH Keywords

coalgebrahighest weight categoryKazhdan-Lusztig polynomialscohomology of comodulescohomology of infinitesimal quantum groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cohomology theory for linear algebraic groups (20G10)

Related Items (4)

The Avrunin and Scott theorem and a truncated polynomial algebra. ⋮ Hopf-cyclic cohomology of quantum enveloping algebras ⋮ Cohomology of quantum general linear groups ⋮ A combinatorial approach to representations of quantum linear groups

Cites Work

• Support varieties for restricted Lie algebras
• Geometry of p-unipotent Lie algebras
• Cohomology of induced representations for algebraic groups
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Characters of the nullcone
• Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
• Representations of Coxeter groups and Hecke algebras
• Some topics on \(GL_ q(n)\)
• On the Kazhdan-Lusztig polynomials for affine Weyl groups
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Representations of quantum algebras
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Cohomology of Lie Algebras and Algebraic Groups
• Modular Representation Theory of Lie Algebras
• Injective Modules for Quantum Algebras
• Lusztig conjectures, old and new, I.
• Quantum linear groups
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